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# Division of Fractions.

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by

## Mr Mattock

on 9 May 2016

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#### Transcript of Division of Fractions.

Division of Fractions.
Starter
Dividing a fraction
What is

2
L.O. - To divide one fraction by another
fraction using a reciprocal.

How many eighths would
it take to make up the

Use this to explain the
3 1
4 8
/ 5 =
3
7
/ 9 =
8
Dividing a fraction by a fraction
5 3
6 4
Dividing a fraction by a fraction
5 3
6 4
"To divide by a fraction, multiply by its reciprocal".
Reciprocals
Find reciprocals of these numbers (I suggest working across)
Examples of Division
Further Examples
Main Activity 1
Red
Amber
Green
Red
Amber
Green
Reciprocals
Find reciprocals of these numbers (I suggest working across)
Starter
How many eighths would
it take to make up the
6

Use this to explain the
3 1
4 8
= 6
Dividing a fraction
What is

2
/ 5 =
3
7
/ 9 =
8
2 1 2
3 5 15
x =
7 1 7
8 9 72
x =
Reciprocals
Reciprocals
7

1
6

3
8
1
4
5
Reciprocals
7

1
6

3
8
1
4
5
5 4
6 3
= x = = = 1
20 10 1
18 9 9
4 5 2 5
6 3 3 3
or = x = x
Examples of Division
5 72 72 5 6 1
12 65 12 65 1 13
= x = x = x
6
13
=
14 39 39 14 13 1
3 28 3 28 1 2
= x = x = x
13 1
2 2
6
= =
Further Examples
36 21 21 36 3 9
77 16 77 16 11 4
27
44
21 44 44 21 11 3
4 35 4 35 1 5
33 3
5 5
= x = x = x
= x = x = x
=
= = 6
Activities
Key
Examples

Activity

Worked
Example

Worked
Example

Worked
Example

Worked
Example

Worked
Example

Reciprocals
The reciprocal of a number is the value
that multiplies with the original number
to give 1 i.e.

x = = 1
b
a
a
b
ab
ab
A quick way of recognising a reciprocal
is to flip a fraction upside down i.e.
a
b
The reciprocal of is .
b
a
To divide by a fraction, multiply by its
reciprocal.
Full transcript